SOLUTION: Find the probability that three face cards are drawn in three successive draws (without replacement) from a deck of cards.
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Question 1115377: Find the probability that three face cards are drawn in three successive draws (without replacement) from a deck of cards.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
To start, there are 12 face cards in the deck of 52 cards.
Thus, P(first draw is a face card) = 12/52
P(2nd draw is a face card) = 11/51
P(3rd draw is a face card) = 10/50
P(3 cards drawn are all face cards) = (12/52)*(11/51)*(10/50) = (3/13)*(11/51)*(1/5) = or approx. 0.009955, just less than 1%.
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